Sharp error bounds for turning point expansions
classification
🧮 math.CA
keywords
boundsexpansionsfunctionserrorpointsharpturningairy
read the original abstract
Computable and sharp error bounds are derived for asymptotic expansions for linear differential equations having a simple turning point. The expansions involve Airy functions and slowly varying coefficient functions. The sharpness of the bounds is illustrated numerically with an application to Bessel functions of large order.
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